Title: Characterizing short-term stability for Boolean networks over any distribution of transfer functions

Abstract

Here we present a characterization of short-term stability of random Boolean networks under arbitrary distributions of transfer functions. Given any distribution of transfer functions for a random Boolean network, we present a formula that decides whether short-term chaos (damage spreading) will happen. We provide a formal proof for this formula, and empirically show that its predictions are accurate. Previous work only works for special cases of balanced families. Finally, it has been observed that these characterizations fail for unbalanced families, yet such families are widespread in real biological networks.

@article{osti_1338403,
title = {Characterizing short-term stability for Boolean networks over any distribution of transfer functions},
author = {Seshadhri, C. and Smith, Andrew M. and Vorobeychik, Yevgeniy and Mayo, Jackson R. and Armstrong, Robert C.},
abstractNote = {Here we present a characterization of short-term stability of random Boolean networks under arbitrary distributions of transfer functions. Given any distribution of transfer functions for a random Boolean network, we present a formula that decides whether short-term chaos (damage spreading) will happen. We provide a formal proof for this formula, and empirically show that its predictions are accurate. Previous work only works for special cases of balanced families. Finally, it has been observed that these characterizations fail for unbalanced families, yet such families are widespread in real biological networks.},
doi = {10.1103/PhysRevE.94.012301},
journal = {Physical Review E},
number = 1,
volume = 94,
place = {United States},
year = 2016,
month = 7
}

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